Proof of the Circle Theorems
12
Hard
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D,E D, E\,D,E and F F\,F are points on the circumference of a circle, centre OOO.

A diagram of a circle with center O. Points D, E, and F are on the circumference. Radii OD, OE, and OF are drawn. Angle DOF is the central angle, and angle DEF is the inscribed angle.

Prove that angle DOF=2×angle DEFDOF = 2 \times \text{angle } DEFDOF=2×angle DEF. You must not use any circle theorems in your proof.

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Proof of the Circle Theorems Questions

Practise AQA GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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Proof of the Circle Theorems Questions

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